Isogeny class 320.1-h contains
8 curves linked by isogenies of
degrees dividing 16.
| Curve label |
Weierstrass Coefficients |
| 320.1-h1
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( 0\) , \( -201 a^{3} - 446 a^{2} + 28 a + 283\) , \( 5882 a^{3} + 12073 a^{2} - 5316 a - 13311\bigr] \)
|
| 320.1-h2
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( a^{3} - 2 a + 1\) , \( 321 a^{3} - 618 a^{2} - 429 a + 837\) , \( -6857 a^{3} + 13047 a^{2} + 9453 a - 18000\bigr] \)
|
| 320.1-h3
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( 0\) , \( 39 a^{3} + 74 a^{2} - 52 a - 97\) , \( 556 a^{3} + 1057 a^{2} - 768 a - 1459\bigr] \)
|
| 320.1-h4
| \( \bigl[a^{2} + a - 3\) , \( a^{3} - 3 a - 1\) , \( a^{3} + a^{2} - 3 a - 2\) , \( 7 a^{3} - 22 a - 10\) , \( -17 a^{3} - 8 a^{2} + 52 a + 45\bigr] \)
|
| 320.1-h5
| \( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a - 1\) , \( 0\) , \( 575 a^{3} + 446 a^{2} - 1926 a - 1947\) , \( -12330 a^{3} - 12073 a^{2} + 42872 a + 47054\bigr] \)
|
| 320.1-h6
| \( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -1\bigr] \)
|
| 320.1-h7
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 2 a + 4\) , \( a^{2} + a - 3\) , \( 12 a^{3} + 17 a^{2} - 24 a - 25\) , \( -50 a^{3} - 98 a^{2} + 60 a + 124\bigr] \)
|
| 320.1-h8
| \( \bigl[a^{3} - 2 a + 1\) , \( a^{3} - a^{2} - 2 a + 4\) , \( 0\) , \( -7 a^{3} - 13 a^{2} + 33 a + 51\) , \( 115 a^{3} + 132 a^{2} - 410 a - 475\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 2 & 8 & 4 & 4 & 8 & 16 & 16 \\
2 & 1 & 4 & 2 & 2 & 4 & 8 & 8 \\
8 & 4 & 1 & 2 & 8 & 4 & 8 & 8 \\
4 & 2 & 2 & 1 & 4 & 2 & 4 & 4 \\
4 & 2 & 8 & 4 & 1 & 8 & 16 & 16 \\
8 & 4 & 4 & 2 & 8 & 1 & 2 & 2 \\
16 & 8 & 8 & 4 & 16 & 2 & 1 & 4 \\
16 & 8 & 8 & 4 & 16 & 2 & 4 & 1
\end{array}\right)\)
